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Finding the Fourth Proportional to 90,673.92, 136,051.92 and 46,278

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Solution

The fourth proportional to 90,673.92, 136,051.92 and 46,278 is: 69,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,673.92 : 136,051.92 = 46,278 : x
  2. Step 2: Convert to fraction form
    90,673.92/136,051.92 = 46,278/x
  3. Step 3: Cross multiply
    90,673.92x = 136,051.92 × 46,278
  4. Step 4: Simplify right side
    90,673.92x = 6,296,210,753.76
  5. Step 5: Solve for x
    x = 6,296,210,753.76/90,673.92
  6. Step 6: Final answer
    x = 69,437.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.